基于超材料的定向传热结构研究与设计

孙良奎; 于哲峰; 黄洁

doi:10.7498/aps.64.084401

摘要

在热斗篷研究的基础上, 提出定向传热结构的研究. 基于变换热力学, 采用坐标斜变换推导了定向传热结构热导率分布的表达式. 数值计算结果表明, 外部热流流经定向传热区域时, 热流向设计的高温面流动, 而设计的低温面温度较低. 此外, 在导出的热导率分布表达式的基础上, 进一步进行坐标旋转变换, 得到的热导率表达式只有相互垂直的两个分量. 计算结果表明, 沿高温面法向的热导率增大时, 传热效率提高, 而且经过坐标旋转变换后, 高温面与低温面的温差增大. 定向传热在红外隐身、热防护领域具有潜在的应用价值.

关键词:

定向传热 /
超材料 /
红外隐身

Abstract

Based on the research of thermal cloak, directional heat transmission structure is proposed in this paper. On the basis of transformation thermodynamics, the thermal conductivity expression for directional heat transmission structure is derived by the oblique coordinate transformation. The results from the numeric calculation indicate that the heat flux flows to the designed high temperature side while the low temperature side remains at low temperature. Furthermore, rotational transformation is performed on the basis of oblique coordinate transformation. The derived thermal conductivity expression has two vertical segments. The calculation results display that with the increase of the thermal conductivity along the normal of the high temperature side, the heat transmission efficiency is improved greatly. Moreover, the temperature difference between the high and low temperature side increases after the rotational transformation. Directional heat transmission has potential applications in infrared stealth and heat protection.

Keywords:

作者及机构信息

1.
中国空气动力研究与发展中心, 绵阳 621000

Authors and contacts

1.
China Aerodynamics Reasearch and Development Center, Mianyang 621000, China

参考文献

[1]	Zhang J J, Huang J T, Luo Y, Chen H S, Kong J A, Wu B I 2008 Phys. Rev. B 77 035116
[2]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[3]	Cummer S A, Popa B, Schurig D, Smith D R, Pendry J 2006 Phys. Rev. E 74 036621
[4]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 97
[5]	Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 10 1038
[6]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[7]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[8]	Yang C F, Yang J J, Huang M, Peng J H, Cai G H 2010 Comput. Mater. Sci. 49 820
[9]	Yang J J, Huang M, Yang C F, Peng J H, Zong R 2010 Energies 3 1335
[10]	Fan C Z, Gao Y, Huang J P 2008 Appl. Phys. Lett. 92 251907
[11]	Li J Y, Gao Y, Huang J P 2010 J. Appl. Phys. 108 074504
[12]	Yang T Z, Huang L J, Chen F, Xu W K 2013 J. Phys. D: Appl. Phys. 46 305102
[13]	Mao F C, Li T H, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 014401 (in Chinese) [毛福春, 李廷华, 黄铭, 杨晶晶, 陈俊昌 2014 物理学报 63 014401]
[14]	Guenneau S, Amra C 2013 Opt. Express 21 6578
[15]	Li T H, Mao F C, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 054401 (in Chinese) [李廷华, 毛福春, 黄铭, 杨晶晶, 陈俊昌 2014 物理学报 63 054401]
[16]	Schinnty R, Kadic M, Guenneau S, Wegener M 2013 Phys. Rev. Lett. 110 195901
[17]	Han T C, Yuan T, Li B W, Qiu C W 2013 Sci. Rep. 3 1593
[18]	Xiao H, Lin Z W 2013 Appl. Phys. Lett. 102 211912

施引文献

[1]	Zhang J J, Huang J T, Luo Y, Chen H S, Kong J A, Wu B I 2008 Phys. Rev. B 77 035116
[2]	Pendry J B, Schurig D, Smith D R 2006 Science 312 1780
[3]	Cummer S A, Popa B, Schurig D, Smith D R, Pendry J 2006 Phys. Rev. E 74 036621
[4]	Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F, Smith D R 2006 Science 314 97
[5]	Valentine J, Li J, Zentgraf T, Bartal G, Zhang X 2009 Nat. Mater. 10 1038
[6]	Pendry J B 2000 Phys. Rev. Lett. 85 3966
[7]	Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[8]	Yang C F, Yang J J, Huang M, Peng J H, Cai G H 2010 Comput. Mater. Sci. 49 820
[9]	Yang J J, Huang M, Yang C F, Peng J H, Zong R 2010 Energies 3 1335
[10]	Fan C Z, Gao Y, Huang J P 2008 Appl. Phys. Lett. 92 251907
[11]	Li J Y, Gao Y, Huang J P 2010 J. Appl. Phys. 108 074504
[12]	Yang T Z, Huang L J, Chen F, Xu W K 2013 J. Phys. D: Appl. Phys. 46 305102
[13]	Mao F C, Li T H, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 014401 (in Chinese) [毛福春, 李廷华, 黄铭, 杨晶晶, 陈俊昌 2014 物理学报 63 014401]
[14]	Guenneau S, Amra C 2013 Opt. Express 21 6578
[15]	Li T H, Mao F C, Huang M, Yang J J, Chen J C 2014 Acta Phys. Sin. 63 054401 (in Chinese) [李廷华, 毛福春, 黄铭, 杨晶晶, 陈俊昌 2014 物理学报 63 054401]
[16]	Schinnty R, Kadic M, Guenneau S, Wegener M 2013 Phys. Rev. Lett. 110 195901
[17]	Han T C, Yuan T, Li B W, Qiu C W 2013 Sci. Rep. 3 1593
[18]	Xiao H, Lin Z W 2013 Appl. Phys. Lett. 102 211912

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